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SAMPLE PAGE KS3 MATHEMATICS
   
Problems
1.
A man earns £7.50 an hour. What are his wages when he works 40 hours of which 5 hours are overtime at 'time and a half'?
 
2,
A train travels 120 km from London to Southampton. If it leaves London at 10.00 am and arrives at Southampton at 11.20 am, find the average speed of the train.
 
3.
In a box of 200 eggs, 20% were broken. How many eggs were broken?
 
4.
Three sacks of potatoes weigh 250 g. What is the weight of fifteen sacks?
 
5.
A man buys a car for £5000. In each year it loses 25% of its value at the beginning of the year. How much is the car worth after 2 years?
   
6.
Ann makes raspberry ice cream using the following recipe wich makes enough ice cream for 4 people. What quantities will she need to make enough for 8 people?
   
Recipe for 4 people Recipe for 8 people
300 g raspberries  
125 g sugar  
100 ml cream  
50 ml water  
 
7.

A shop sells coffee in jars of different sizes.

Jar A contains 100 g of coffee and costs £1.76
Jar B contains 250 g of coffee and costs £4.00

What is the cost of 25 g of coffee in Jar A?
What is the cost of 25 g of coffee in Jar B?
Which jar is the better buy?

   
8.
A ship sails 40 nautical miles north and then 30 miles east.
How far is it from its starting point? (Answer to the nearest mile.)
   
9.
A line AB measures 10 cm.
It it is divided so that AP:PB = 2:3. What is the length of AP?
   
10.
A radio costs £58.75 including VAT at 17.5%. How much is the VAT?
   
 
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  Mathematics. Problem solving involving arithmetic, algebra and geometry.
From Master File Mathematics, Key Stage 3 for 11-14 year olds.